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Finding the Fourth Proportional to 2,111.40, 2,907.90 and 1,917

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Solution

The fourth proportional to 2,111.40, 2,907.90 and 1,917 is: 2,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.40 : 2,907.90 = 1,917 : x
  2. Step 2: Convert to fraction form
    2,111.40/2,907.90 = 1,917/x
  3. Step 3: Cross multiply
    2,111.40x = 2,907.90 × 1,917
  4. Step 4: Simplify right side
    2,111.40x = 5,574,444.30
  5. Step 5: Solve for x
    x = 5,574,444.30/2,111.40
  6. Step 6: Final answer
    x = 2,640.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.